What is the Least Common Multiple of 28005 and 28023?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 28005 and 28023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28005 and 28023, than apply into the LCM equation.

GCF(28005,28023) = 3
LCM(28005,28023) = ( 28005 × 28023) / 3
LCM(28005,28023) = 784784115 / 3
LCM(28005,28023) = 261594705

Least Common Multiple (LCM) of 28005 and 28023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28005 and 28023. First we will calculate the prime factors of 28005 and 28023.

Prime Factorization of 28005

Prime Factorization of 28023

Now multiplying the highest exponent prime factors to calculate the LCM of 28005 and 28023.

LCM(28005,28023) = 3¹ × 5¹ × 1867¹ × 9341¹
LCM(28005,28023) = 261594705